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Aug 12, 2012 at 1:52 comment added Brendan McKay My answer was just to demonstrate that the problem is NP-hard, unlike the standard linear programming problem that is polynomial time. This knowledge is not particularly useful in practice except to eliminate possible approaches.
Aug 11, 2012 at 14:56 comment added ashade Great answer, but forgive me, I don't have much knowledge in graph theory. Suppose I have a maximum independent set for this graph. What should I do next to solve my problem? Also, how can I find this maximum independent set? Thanks for you time.
Aug 11, 2012 at 14:25 history answered Brendan McKay CC BY-SA 3.0